ПРЕДСТАВТЕ В ВИДЕ ОБЫКНОВЕННОЙ ДРОБИ БЕСКОНЕЧНУБ ДЕСЯТИЧНУЮ ДРОБЬ a)0.(27)                 b) 0.5(6)SOS          

0,27=27/1000,5=5/10=1/50,6=6/10=3/5

x=0.(27) 100x=27.(27) 100x-x=27 99x=27 [latex]x=\frac{27}{99}=\frac{3}{11}[/latex] ============================== [latex]b_1=0.27;q=0.01[/latex] [latex]S=\frac{b_1}{1-q}=\frac{0.27}{1-0.01}=\frac{27}{99}=\frac{3}{11}[/latex] ----------------------------------------------------------------------------- x=0.5(6) 10x=5.6(6) [latex]10x-x=5.1[/latex] [latex]9x=5.1[/latex] [latex]90x=51[/latex] [latex]x=\frac{51}{90}=\frac{17}{30}[/latex] ====================================== [latex]b_1=0.06;q=0.1[/latex] [latex]S=0.5+\frac{b_1}{1-q}=0.5+\frac{0.06}{1-0.1}=\\\\\frac{45}{90}+\frac{6}{90}=\frac{51}{90}=\frac{17}{30}[/latex]